Optimal H∞ Insulin Injection Control for Blood Glucose Regulation in Diabetic Patients. IEEE Transactions on Biomedical Engineering

F. Chee, A.V. Savkin, Tyrone Fernando, S. Nahavandi

Research output: Contribution to journalArticle

68 Citations (Scopus)

Abstract

The theory of optimal control has the feature of H∞ minimizing the worst-case gain of an unknown disturbance input. When appropriately modified, the theory can be used to design a “switching” controller that can be applied to insulin injection for blood glucose (BG) regulation. The “switching” controller is defined by a collection of basic insulin rates and a rule that switches the insulin rates from one value to another. The rule employed an estimation of BG from noisy measurements, and the subsequent optimization of a performance index that involves the solution of a “jump” Riccati differential equation and a discrete-time dynamic programming equation. With an appropriate patient model, simulation studies have shown that the controller could correct BG deviation using clinically acceptable insulin delivery rates.
Original languageEnglish
Pages (from-to)1625-1631
JournalIEEE Transactions on Biomedical Engineering
Volume52
Issue number10
DOIs
Publication statusPublished - 2005

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